95-45 On Point Covers of Multiple Intervals and Axis-Parallel Rectangles

DIMACS TR: 95-45

On Point Covers of Multiple Intervals and Axis-Parallel Rectangles

Authors: Gyula Karolyi, Gabor Tardos

ABSTRACT
In certain families of hypergraphs the transversal number is bounded by some function of the packing number. In this paper we study hypergraphs related to multiple intervals and axis-parallel rectangles, respectively. Essential improvements of former established upper bounds are presented here. We explore the close connection between the two problems at issue.

Paper available at: ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1995/95-45.ps.gz

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